452720552127200 has 288 divisors, whose sum is σ = 1330099163205120. Its totient is φ = 147107732428800.

The previous prime is 452720552127187. The next prime is 452720552127203. The reversal of 452720552127200 is 2721255027254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452720552127203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2084246 + ... + 30162645.

It is an arithmetic number, because the mean of its divisors is an integer number (4618399872240).

Almost surely, 2^{452720552127200} is an apocalyptic number.

452720552127200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452720552127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665049581602560).

452720552127200 is an abundant number, since it is smaller than the sum of its proper divisors (877378611077920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

452720552127200 is a wasteful number, since it uses less digits than its factorization.

452720552127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32247050 (or 32247037 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 44.

The spelling of 452720552127200 in words is "four hundred fifty-two trillion, seven hundred twenty billion, five hundred fifty-two million, one hundred twenty-seven thousand, two hundred".